Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
3. Proving Triangle Congruence by SAS
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Exercise 9 Page 605

Are the congruent angles included?

There is not enough information.

Practice makes perfect
For the SAS Congruence Theorem, we need two sides and the included angle from each triangle. In addition to what the diagram tells us, we can by the Reflexive Property of Congruence identify a second pair of congruent sides in our triangles, XZ.

In this case, the congruent angles are not included by the congruent sides. Thus, there is insufficient information to use the SAS Congruence Theorem.